GaugeField< T > Class Template Reference

Gauge field class. More...

#include <gaugefield.h>

Public Member Functions
void	config_write (const std::string &filename) const
	config_write writes the gauge field to file, with additional "verifying" header
double	measure_plaq () const
	Computes Wilson action.
template<typename A >
GaugeField &	operator= (const A &val)
	Assign from anything the field allows.
GaugeField &	operator= (std::nullptr_t np)
	Separate 0 assignment.
Field< T > &	operator[] (Direction d)
	Access components with [].
void	reunitarize_gauge ()
	Reunitarize Gauge Field consisting of \( SU(N)\) matrices.
	~GaugeField ()=default
	Destructor.

Detailed Description

template<typename T>
class GaugeField< T >

Gauge field class.

Stores and defines links between Lattice Field elements. Number of links is lattice.size()*NDIM, since for each point there is a link in all directions.

Parameters

fdir	std::array<Field<T>,NDIM> type element which stores GaugeField links in back to back direction wise ordering.

Template Parameters

T	Group that GaugeField consists of

Definition at line 22 of file gaugefield.h.

Member Function Documentation

measure_plaq()

template<typename T >

double GaugeField< T >::measure_plaq ( ) const

inline

Computes Wilson action.

\begin{align} S &= \beta\sum_{\textbf{dir}_1 < \textbf{dir}_2}\sum_{X} \frac{1}{N} \Re\mathrm{Tr}\left[ 1- U_{\textbf{dir}_1 \textbf{dir}_2}(X) \right] \end{align}

Where \(\beta = 2N/g^2\)

Returns

double

Definition at line 108 of file gaugefield.h.

reunitarize_gauge()

template<typename T >

void GaugeField< T >::reunitarize_gauge ( )

inline

Reunitarize Gauge Field consisting of \( SU(N)\) matrices.

Only defined for \( SU(N) \) matrices and Fields

Definition at line 94 of file gaugefield.h.

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The documentation for this class was generated from the following file:

• gaugefield.h